Acronym	thi
Name	truncated hecatonicosachoron
Cross sections	©
Circumradius	sqrt[34+15 sqrt(5)] = 8.218334
Vertex figure	©
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: tet tid thi 600 120 )
Dihedral angles	at {3} between tet and tid:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {10} between tid and tid:   144°
Face vector	2400, 4800, 3120, 720
Confer	decompositions: xhi || thi   general polytopal classes: Wythoffian polychora
External links

As abstract polytope thi is isomorphic to quit gogishi, thereby replacing the decagons by decagrams, resp. replacing tid by quit gissid.

Note that thi can be thought of as the external blend of 1 xhi + 600 tetatuts + 1200 pens + 120 tiatids. This decomposition is described as the degenerate segmentoteron oo3xo3xx5ox&#x.

Incidence matrix according to Dynkin symbol

o3o3x5x

. . . . | 2400 |    3    1 |    3   3 |   1   3
--------+------+-----------+----------+--------
. . x . |    2 | 3600    * |    2   1 |   1   2
. . . x |    2 |    * 1200 |    0   3 |   0   3
--------+------+-----------+----------+--------
. o3x . |    3 |    3    0 | 2400   * |   1   1
. . x5x |   10 |    5    5 |    * 720 |   0   2
--------+------+-----------+----------+--------
o3o3x . ♦    4 |    6    0 |    4   0 | 600   *
. o3x5x ♦   60 |   60   30 |   20  12 |   * 120

snubbed forms: o3o3β5x, o3o3x5β, o3o3β5β

o3o3/2x5x

. .   . . | 2400 |    3    1 |    3   3 |   1   3
----------+------+-----------+----------+--------
. .   x . |    2 | 3600    * |    2   1 |   1   2
. .   . x |    2 |    * 1200 |    0   3 |   0   3
----------+------+-----------+----------+--------
. o3/2x . |    3 |    3    0 | 2400   * |   1   1
. .   x5x |   10 |    5    5 |    * 720 |   0   2
----------+------+-----------+----------+--------
o3o3/2x . ♦    4 |    6    0 |    4   0 | 600   *
. o3/2x5x ♦   60 |   60   30 |   20  12 |   * 120

o3/2o3x5x

.   . . . | 2400 |    3    1 |    3   3 |   1   3
----------+------+-----------+----------+--------
.   . x . |    2 | 3600    * |    2   1 |   1   2
.   . . x |    2 |    * 1200 |    0   3 |   0   3
----------+------+-----------+----------+--------
.   o3x . |    3 |    3    0 | 2400   * |   1   1
.   . x5x |   10 |    5    5 |    * 720 |   0   2
----------+------+-----------+----------+--------
o3/2o3x . ♦    4 |    6    0 |    4   0 | 600   *
.   o3x5x ♦   60 |   60   30 |   20  12 |   * 120

o3/2o3/2x5x

.   .   . . | 2400 |    3    1 |    3   3 |   1   3
------------+------+-----------+----------+--------
.   .   x . |    2 | 3600    * |    2   1 |   1   2
.   .   . x |    2 |    * 1200 |    0   3 |   0   3
------------+------+-----------+----------+--------
.   o3/2x . |    3 |    3    0 | 2400   * |   1   1
.   .   x5x |   10 |    5    5 |    * 720 |   0   2
------------+------+-----------+----------+--------
o3/2o3/2x . ♦    4 |    6    0 |    4   0 | 600   *
.   o3/2x5x ♦   60 |   60   30 |   20  12 |   * 120